92 citations · 502 across the 56 of their papers we have counts for
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math.DS2014★ 58 cited
Absolute continuity of self-similar measures, their projections and convolutions
Pablo Shmerkin, Boris Solomyak
We show that in many parametrized families of self-similar measures, their projections, and their convolutions, the set of parameters for which the measure fails to be absolutely c…
math.DS2014★ 15 cited
On the dimensions of a family of overlapping self-affine carpets
Jonathan Fraser, Pablo Shmerkin
We consider the dimensions of a family of self-affine sets related to the Bedford-McMullen carpets. In particular, we fix a Bedford-McMullen system and then randomise the translati…